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Finding the Fourth Proportional to 193.61, 269.04 and 191.63

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Solution

The fourth proportional to 193.61, 269.04 and 191.63 is: 266.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.61 : 269.04 = 191.63 : x
  2. Step 2: Convert to fraction form
    193.61/269.04 = 191.63/x
  3. Step 3: Cross multiply
    193.61x = 269.04 × 191.63
  4. Step 4: Simplify right side
    193.61x = 51,556.14
  5. Step 5: Solve for x
    x = 51,556.14/193.61
  6. Step 6: Final answer
    x = 266.29

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.